The fractal geometry of the level sets of a contaminant dispersed by chaotic surface waves

I. Procaccia; Peter Constantin

doi:10.1209/0295-5075/22/9/009

The fractal geometry of the level sets of a contaminant dispersed by chaotic surface waves

I. Procaccia, Peter Constantin

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Abstract

Recent experiments on the dispersal of a dye by chaotic surface waves indicate that the iso-concentration curves exhibit fractal geometry on a significant range of scales. In this letter we offer a rigorous theory in which the dimension of the iso-concentration curves is calculated. It is shown that the results are universal for all types of surface waves without mean advection, and are in good agreement with the experimental measurements.

Original language	English (US)
Number of pages	1
Journal	EPL
Volume	22
Issue number	9
DOIs	https://doi.org/10.1209/0295-5075/22/9/009
State	Published - Jun 20 1993

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1209/0295-5075/22/9/009

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abstract = "Recent experiments on the dispersal of a dye by chaotic surface waves indicate that the iso-concentration curves exhibit fractal geometry on a significant range of scales. In this letter we offer a rigorous theory in which the dimension of the iso-concentration curves is calculated. It is shown that the results are universal for all types of surface waves without mean advection, and are in good agreement with the experimental measurements.",

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AB - Recent experiments on the dispersal of a dye by chaotic surface waves indicate that the iso-concentration curves exhibit fractal geometry on a significant range of scales. In this letter we offer a rigorous theory in which the dimension of the iso-concentration curves is calculated. It is shown that the results are universal for all types of surface waves without mean advection, and are in good agreement with the experimental measurements.

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The fractal geometry of the level sets of a contaminant dispersed by chaotic surface waves

Abstract

All Science Journal Classification (ASJC) codes

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